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1132144533 = 3513443809
BaseRepresentation
bin100001101111011…
…0010011110010101
32220220022220100000
41003132302132111
54304312111113
6304201441513
740025032632
oct10336623625
92826286300
101132144533
1153107aa43
122771a0299
13150726b10
14aa509189
15695d5373
hex437b2795

1132144533 has 48 divisors (see below), whose sum is σ = 1832725440. Its totient is φ = 694272384.

The previous prime is 1132144499. The next prime is 1132144561. The reversal of 1132144533 is 3354412311.

It is a happy number.

1132144533 is a `hidden beast` number, since 113 + 2 + 14 + 4 + 533 = 666.

It is not a de Polignac number, because 1132144533 - 212 = 1132140437 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1132144497 and 1132144506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1132144633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1399033 + ... + 1399841.

It is an arithmetic number, because the mean of its divisors is an integer number (38181780).

Almost surely, 21132144533 is an apocalyptic number.

1132144533 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1132144533 is a deficient number, since it is larger than the sum of its proper divisors (700580907).

1132144533 is an equidigital number, since it uses as much as digits as its factorization.

1132144533 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280 (or 1268 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 1132144533 is about 33647.3555127294. The cubic root of 1132144533 is about 1042.2389305380.

Adding to 1132144533 its reverse (3354412311), we get a palindrome (4486556844).

The spelling of 1132144533 in words is "one billion, one hundred thirty-two million, one hundred forty-four thousand, five hundred thirty-three".

Divisors: 1 3 9 13 27 39 81 117 243 351 443 809 1053 1329 2427 3159 3987 5759 7281 10517 11961 17277 21843 31551 35883 51831 65529 94653 107649 155493 196587 283959 358387 466479 851877 1075161 1399437 2555631 3225483 4659031 9676449 13977093 29029347 41931279 87088041 125793837 377381511 1132144533